2545876480 has 320 divisors, whose sum is σ = 7562408832. Its totient is φ = 802160640.

The previous prime is 2545876471. The next prime is 2545876483. The reversal of 2545876480 is 846785452.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545876483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18582972 + ... + 18583108.

Almost surely, 2^2545876480 is an apocalyptic number.

2545876480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2545876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781204416).

2545876480 is an abundant number, since it is smaller than the sum of its proper divisors (5016532352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2545876480 is a wasteful number, since it uses less digits than its factorization.

2545876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 49.

The square root of 2545876480 is about 50456.6792407110. The cubic root of 2545876480 is about 1365.4604000935.

The spelling of 2545876480 in words is "two billion, five hundred forty-five million, eight hundred seventy-six thousand, four hundred eighty".